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Finding the Fourth Proportional to 580,643,999.10, 870,965,998.65 and 521,521,515.90

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Solution

The fourth proportional to 580,643,999.10, 870,965,998.65 and 521,521,515.90 is: 782,282,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,643,999.10 : 870,965,998.65 = 521,521,515.90 : x
  2. Step 2: Convert to fraction form
    580,643,999.10/870,965,998.65 = 521,521,515.90/x
  3. Step 3: Cross multiply
    580,643,999.10x = 870,965,998.65 × 521,521,515.90
  4. Step 4: Simplify right side
    580,643,999.10x = 454,227,507,913,305,344
  5. Step 5: Solve for x
    x = 454,227,507,913,305,344/580,643,999.10
  6. Step 6: Final answer
    x = 782,282,273.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.